


Том 27, № 2 (2017)
- Жылы: 2017
- Мақалалар: 16
- URL: https://bakhtiniada.ru/1054-6618/issue/view/12242
Mathematical Method in Pattern Recognition
Construction of an optimal collective decision in cluster analysis on the basis of an averaged co-association matrix and cluster validity indices
Аннотация
An ensemble clustering method is proposed that is based on a weight averaged co-association matrix. The ensemble includes various cluster analysis algorithms whose weights are calculated with the use of cluster validity indices. The properties of the ensemble are analyzed, a probabilistic model is described by which the relations between the characteristics of the ensemble and a quality estimate of a decision are determined, and a method is proposed for determining the optimal weights. The efficiency of the method is analyzed by statistical simulation.



Conditions of the correctness for the algebra of estimates calculation algorithms with μ-operators over a set of binary-data recognition problems
Аннотация
This paper is aimed to show that specialized neural networks can be useful for finding exact solutions of the recognition problems involving binary data. For this purpose, as an original subclass, we take the subclass of estimates calculation algorithms (ECAs) in which all algorithms correspond to three-level multilayer neural networks (μ-blocks). The correctness conditions are defined that allow a correct algorithm to be constructed in the algebra over this ECA subclass for each Ω-regular recognition problem. This approach does not require additional constraints, except for a trivial one, on the system of ECA support sets.



Approximation of experimental data by solving linear difference equations with constant coefficients (in particular, by exponentials and exponential cosines)
Аннотация
This paper proposes a method for approximating experimental data points by the curves representing the solutions of linear difference equations with constant coefficients, in particular, by the curves of the expcos class. An algorithm for finding the coefficients and initial conditions of this approximation is described. The proposed approach minimizes the root mean square (RMS) deviation. The method is tested on some model examples, including the refinement of the beginning of QRS complexes on a three-dimensional ECG loop (in the form of Frank leads).



Combinatorial analysis of the solvability properties of the problems of recognition and completeness of algorithmic models. Part 2: Metric approach within the framework of the theory of classification of feature values
Аннотация
The properties of solvability/regularity of problems and correctness/completeness of algorithmic models are fundamental components of the algebraic approach to pattern recognition. In this paper, we formulate the principles of the metric approach to the data analysis of poorly formalized problems and hence with obtain metric forms of the criteria of solvability, regularity, correctness, and completeness. In particular, the analysis of the compactness properties of metric configurations allowed us to obtain a set of sufficient conditions for the existence of correct algorithms. These conditions can be used for assessment of the quality of the methods of formalization of the problems for arbitrary algorithms and algorithmic models. The general schema proposed for the data analysis of poorly formalized problems includes the criteria in the cross-validation form and can assess not only the quality of formalization, but also the extent of overtraining pertaining to the procedures of generation and selection of feature descriptions.



Applied Problems
Urban areas extraction from multi sensor data based on machine learning and data fusion
Аннотация
Accurate urban areas information is important for a variety of applications, especially city planning and natural disaster prediction and management. In recent years, extraction of urban structures from remotely sensed images has been extensively explored. The key advantages of this imaging modality are reduction of surveying expense and time. It also elevates restrictions on ground surveys. Thus far, much research typically extracts these structures from very high resolution satellite imagery, which are unfortunately of relatively poor spectral resolution, resulting in good precision yet moderate accuracy. Therefore, this paper investigates extraction of buildings from middle and high resolution satellite images by using spectral indices (Normalized Difference Building Index: NDBI, Normalized Difference Vegetation Index: NDVI, Soil Adjustment Vegetation Index: SAVI, Modified Normalized Difference Index: MNDWI, and Global Environment Monitoring Index: GEMI) by means of various Machine Learning methods (Artificial Neural Network: ANN, K-Nearest Neighbor: KNN, and Support Vector Machine: SVM) and Data Fusion (i.e., Majority Voting). Herein empirical results suggested that suitable learning methods for urban areas extraction are in preferring order Data Fusion, SVM, KNN, and ANN. Their accuracies were 85.46, 84.86, 84.66, and 84.91%, respectively.



Multispectral and joint colour-texture feature extraction for ore-gangue separation
Аннотация
Ore sorting is a useful tool to remove gangue material from the ore and increase the quality of the ore. The vast developments in the area of artificial intelligence allow fast processing of full color digital images for the preferred investigations. Three different approaches to color texture analysis were used for the classification of associated gangue from limestone and iron ore. All the methods were based on extensions of the co-occurrence matrix method. The first approach was a correlation method, in which co-occurrence matrices are computed both between and within the color bands. In the second approach, joint color-texture features, where color features were extracted from chrominance information and texture features were extracted from luminance information of the color bands. The last approach used grey scale texture features computed on a quantized color image. Results showed that the joint color-texture method was 98% accurate for limestone and 98.4% for iron ore gangue classification. It was further observed that the features showed better accuracy with 64 grey levels quantization.



Post-processing of dimensionality reduction methods for face recognition
Аннотация
Pre-processing approaches have been widely used in face recognition to enhance images. However, a notably limited amount of research has examined the use of post-processing methods. In this paper, we propose a novel post-processing framework to improve dimensionality reduction methods for robust face recognition. The proposed method does not work on the features directly; it decomposes each feature into different components using multidimensional ensemble empirical mode decomposition and later maximizes the dependency and the dispersion among classes using a Gaussian function. The performance of the proposed algorithm is demonstrated through experiments by applying several dimensionality reduction techniques on two public databases.



Face recognition using multi-class Logical Analysis of Data
Аннотация
This paper addresses the applicability of multi-class Logical Analysis of Data (LAD) as a face recognition technique (FRT). This new classification technique has already been applied in the field of biomedical and mechanical engineering as a diagnostic technique; however, it has never been used in the face recognition literature. We explore how Eigenfaces and Fisherfaces merged to multi-class LAD can be leveraged as a proposed FRT, and how it might be useful compared to other approaches. The aim is to build a single multi-class LAD decision model that recognizes images of the face of different persons. We show that our proposed FRT can effectively deal with multiple changes in the pose and facial expression, which constitute critical challenges in the literature. Comparisons are made both from analytical and practical point of views. The proposed model improves the classification of Eigenfaces and Fisherfaces with minimum error rate.



An improved watermarking algorithm using variable block image features
Аннотация
The ease in digital imaging has led to a decrease in image fidelity where illegal reproduction of multimedia information has become difficult to detect. The most challenging problem is to protect image copyright against illegal copies. Therefore a watermark detection process is required to verify the owner of the image. This paper proposes a blind algorithm to extract the watermark. This algorithm is robust against noise and geometric attacks for grayscale images. Robust feature points are detected using the Harris Detector. In the embedding stage, sequences are placed into regions located around feature points. The sequences used are PN, Gold and decimal. In the extraction process, image features are re-allocated using the same detector. Each feature point is used as a center of an N × N region. This region is moved horizontally and vertically within its neighboring pixels. Each move should be registered in a matrix as a correlation value of this region with the initial sequence. This procedure is repeated for all feature points till we find all the watermarked regions. The maximum correlation obtained will determine the center of the watermarked region. The proposed algorithm is robust against a wide variety of tests and is compared to other schemes.



A method for recognizing changes in stomach mucosal microstructure by video endoscopy
Аннотация
This paper proposes the method for analysis and subsequent recognition of stomach mucosal changes by video endoscopy, including real time mode. The method is based on the parallel use of image analysis algorithms and a neural network. The model for the quantitative estimate of changes in the mucosal microstructure is proposed. The paper performs the correlation analysis of the results from the estimate of mucosal changes that was obtained by the image analysis algorithms and using the neural network. The accuracy of neoplasm recognition in endoscopic images is estimated for different combinations of algorithms and descriptors.



Hierarchical vectorization of electrical drawings in document images by connectivity analysis of symbols and super-components
Аннотация
A novel integrated technique is proposed for hierarchical vectorization of electrical drawings in document images. Its first step includes recognition of different electrical symbols and their interconnections based on morphological operations and geometric analysis in three well-distinguished subspaces. This is followed by a hierarchical analysis for detecting the (series-or parallel-connected) super-components in an iterative manner. Finally a compact collection of circuit adjacency lists is produced, which are reduced further by binary encoding. Reconstruction algorithm has also been explained to merit the overall efficacy of the vectorization. Experimental results have been furnished to demonstrate its efficiency and robustness.



Distributed coordinate descent for generalized linear models with regularization
Аннотация
Generalized linear model with L1 and L2 regularization is a widely used technique for solving classification, class probability estimation and regression problems. With the numbers of both features and examples growing rapidly in the fields like text mining and clickstream data analysis parallelization and the use of cluster architectures becomes important. We present a novel algorithm for fitting regularized generalized linear models in the distributed environment. The algorithm splits data between nodes by features, uses coordinate descent on each node and line search to merge results globally. Convergence proof is provided. A modifications of the algorithm addresses slow node problem. For an important particular case of logistic regression we empirically compare our program with several state-of-the art approaches that rely on different algorithmic and data spitting methods. Experiments demonstrate that our approach is scalable and superior when training on large and sparse datasets.



Representation, Processing, Analysis, and Understanding of Images
Combination of histogram segmentation and modification to preserve the original brightness of the images
Аннотация
Image enhancement by preserving the original brightness is the main challenge of the consumer electronics field. This paper concentrates on the modification of traditional histogram equalization (HE) method to increase its brightness preserving ability. In literature mainly two types of variants have been proposed based on segmentation and modification of the histogram. Both variants are able to preserve the original brightness to some extent. Actually the efficiency of these variants of HE depend on the optimal segmentation and proper modification of histogram. This study concentrates to prove that histogram segmentation or modification which one is better to preserve the image’s original brightness and how much it can be preserved by using the combination of two variants. New hybrid variants of HE method have been proposed in this paper to prove that fact. Results of the proposed methods have been analyzed visually and mathematically.



Subjective models, oblique projectors, and optimal decisions in image morphology
Аннотация
The paper considers the mathematical formalism of the subjective modeling of uncertainty and ambiguity categories reflecting the incompleteness and inaccuracy of the information used in construction of a subjective morphological model. Some examples of subjective modeling for morphological image analysis are presented. It is shown that optimal decisions for morphological image analysis and interpretation can be formulated by means of oblique projection and subjective optimization.



A novel Retinex image enhancement approach via brightness channel prior and change of detail prior
Аннотация
In this paper, we propose a novel Retinex image enhancement approach by adopting two important prior named brightness channel prior (BCP) and change of detail (CoD) prior. We first derive a rough illumination map estimation method via BCP and Retinex model. Then, we present a combination refining method which involves the guided filter and a new total variation (TV) smoothing operator to eliminate the block effect in the rough illumination map while maintain the local smoothness property. In addition, we propose a novel sharping algorithm rely on CoD prior to improve the visual effect of the degraded image. Experimental results verify that our approach outperforms current approaches in terms of effectiveness, efficiency and universality.



Software and Hardware for Pattern Recognition and Image Analysis
Tradeoff search methods between interpretability and accuracy of the identification fuzzy systems based on rules
Аннотация
This paper starts a brief historical overview of occurrence and development of fuzzy systems and their applications. Integration methods are proposed to construct a fuzzy system using other AI methods, achieving synergy effect. Accuracy and interpretability are selected as main properties of rule-based fuzzy systems. The tradeoff between interpretability and accuracy is considered to be the actual problem. The purpose of this paper is the in-depth study of the methods and tools to achieve a tradeoff for accuracy and interpretability in rule-based fuzzy systems and to describe our interpretability indexes. A comparison of the existing ways of interpretability estimation has been made We also propose the new way to construct heuristic interpretability indexes as a quantitative measure of interpretability. In the main part of this paper we describe previously used approaches, the current state and original authors’ methods for achieving tradeoff between accuracy and complexity.


